Demazure structure inside Kirillov-Reshetikhin crystals

DOI10.1016/j.jalgebra.2006.09.019zbMath1115.17008arXivmath/0605451OpenAlexW2007779871MaRDI QIDQ875091

Mark Shimozono, Ghislain Fourier, Anne Schilling

Publication date: 11 April 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605451

zbMATH Keywords

quantum affine algebrasKirillov-Reshetikhin crystalscrystal basesDemazure crystals

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (16)

Kirillov-Reshetikhin crystals for nonexceptional types ⋮ Kirillov–Reshetikhin crystals B^7,s for type E₇⁽¹⁾ ⋮ Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials ⋮ Uniform description of the rigged configuration bijection ⋮ Minimal affinizations as projective objects ⋮ Kirillov-Reshetikhin crystals \(B^{1, s}\) for \(\widehat{\mathfrak{s}\mathfrak{l}}_n\) using Nakajima monomials ⋮ Reprint of: ``Minimal affinizations as projective objects ⋮ Affine crystals, one-dimensional sums and parabolic Lusztig \(q\)-analogues ⋮ Combinatorial structure of Kirillov-Reshetikhin crystals of type \(D_n^{(1)}\), \(B_n^{(1)}\), \(A^{(2)}_{2n-1}\) ⋮ A uniform approach to soliton cellular automata using rigged configurations ⋮ Perfect crystals for \(U_q(D_4^{(3)})\) ⋮ A uniform realization of the combinatorial \(R\)-matrix for column shape Kirillov-Reshetikhin crystals ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types ⋮ Hecke group algebras as quotients of affine Hecke algebras at level 0. ⋮ On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models ⋮ A generalization of the alcove model and its applications

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